Solve x^4y^6/x^5y^2

$$\frac { x ^ { 4 } y ^ { 6 } } { x ^ { 5 } y ^ { 2 } }$$

Evaluate

$$\frac{y^{4}}{x}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{x^{4}y^{6}}{x^{5}y^{2}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$x^{4-5}y^{6-2}$$

Subtract 5 from 4.

$$\frac{1}{x}y^{6-2}$$

Subtract 2 from 6.

$$\frac{1}{x}y^{4}$$

Differentiate w.r.t. x

$$-\frac{y^{4}}{x^{2}}$$